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  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": true,
     "input": [
      "# vim: set filetype=python:"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": null
    },
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Logistic Regression with Automatic Relevance Determination"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "ClassificationARD is modified version of Bayesian Logistic Regression. \n",
      "Two main differences between Bayesian Logistic Regression and ClassificationARD are:\n",
      "- ClassificationARD uses ARD prior instead of spherical (see more details below)\n",
      "- ClassificationARD uses fast and efficient learning algorithm introduced by Tipping and   \n",
      "  Faul (2003), while Bayesian Logistic Regression uses Gull-MacKay updates."
     ]
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "What is ARD prior?"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Standard Bayesian Logistic Regression introduces spherical Gaussian prior for weights, while in the case of using ARD independent Gaussian prior is introduced for each weight parameter. And during learning process variance parameter for some of the prior distributions\n",
      "can be driven to zero essentially eliminating variable (prior becomes Gaussian with zero mean and zero variance i.e. weight parameter corresponding to variable becomes zero). So after a model is fitted only a small number of weight parameters that correspond to 'relevant' features remain non-zero."
     ]
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "ClassificationARD passes all scikit-learn tests for Linear Classifier"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from skbayes.rvm_ard_models import ClassificationARD\n",
      "from sklearn.utils.estimator_checks import check_estimator\n",
      "check_estimator(ClassificationARD)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Example 1 : Binary Classification with many irrelevant features"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In this part of the notebook, we compare the performance of L1, L2 and ARD Logistic Regression on toy data set with noisy features. In our artificially generated dataset only two features are relevant for solving classification problem, the rest are random noise.\n",
      "In a figure below you can see an example of a dataset in space spanned by two relevant features."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import sklearn\n",
      "from matplotlib import cm\n",
      "import matplotlib\n",
      "from sklearn.cross_validation import train_test_split\n",
      "from sklearn.linear_model import LogisticRegressionCV\n",
      "from sklearn.grid_search import GridSearchCV\n",
      "from scipy.stats import multivariate_normal as mvn\n",
      "\n",
      "def generate_dataset(n_samples = 500, n_features = 100,\n",
      "                     cov_class_1 = [[0.9,0.1],[1.5,.2]],\n",
      "                     cov_class_2 = [[0.9,0.1],[1.5,.2]],\n",
      "                     mean_class_1 = (-1,0.4),\n",
      "                     mean_class_2 = (-1,-0.4)):\n",
      "    ''' Generate binary classification problem with two relevant features'''\n",
      "    X   = np.random.randn(n_samples, n_features)\n",
      "    Y   = np.ones(n_samples)\n",
      "    sep = int(n_samples/2)\n",
      "    Y[0:sep]     = 0\n",
      "    X[0:sep,0:2] = np.random.multivariate_normal(mean = mean_class_1, \n",
      "                   cov = cov_class_1, size = sep)\n",
      "    X[sep:n_samples,0:2] = np.random.multivariate_normal(mean = mean_class_2,\n",
      "                        cov = cov_class_2, size = n_samples - sep)\n",
      "    return X,Y\n",
      "\n",
      "X,Y = generate_dataset()\n",
      "plt.figure(figsize = (8,6))\n",
      "plt.plot(X[Y==0,0],X[Y==0,1],\"bo\", markersize = 3)\n",
      "plt.plot(X[Y==1,0],X[Y==1,1],\"ro\", markersize = 3)\n",
      "plt.xlabel('feature 1')\n",
      "plt.ylabel('feature 2')\n",
      "plt.title(\"Example of dataset\")\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
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WTSQz1q5dw65dh5+LSL6tHhoa2LR8mIbJSWLy0rYdRznzcq4iUgw9DZPLEwX4\nbOomba1AKSLSXpQAf0y/CiMSRW0I2fT0VUuBXvKpUpljbGwbY2PbqFTm0i6OyMBpO1WtmR0DvBZ4\nlrtvN7NfAZ7m7v+UeOkk19RbfLBpvL9IuqLMRf8h4AlgFNgOPBq8dk6C5ZIC6GaInG4KRETi0bYN\n3sz2uvu62r/Ba/e4+3P6UsII1AYvkj3qTyF5l+XhdrF0sjOzrwLnAV8LAn0JuKMW7LNAAT59/f4y\nV/CQQZTlgFNE28bGDs+IVy5nauhdXJ3sdgCfAU4xs2uAOwE1pskR2nWO66bDVavPqDOeDKLaFKxX\nTU8vBXqRZlq2wQcd7L4LvB04P3j5Fe7+raQLJsXSTYerTj+jWr2IxGnz1BTbQxmTvGkZ4N39CTO7\n3t3PAhTUpal+d45rdDz12paiy3vAyZu8z4gXpQ3+fcA/Ap/KakO32uCzr5vadaefGcT54JW1EBlM\ncXWyexQ4DngcWAxednc/MYYCvhT4ALAMuNHd391gmw8CLwMOAa93970NtlGAl4EMdoN4U5M0dWST\nPOhpsZkad09kaVgzWwZcB1wAVIAZM7st3L5vZmXg19z9NDN7LvBh4HlJlEfyLw9L00rn+h1wk15L\nXDcQ0i9RZrL73Uavu/uXejz2ucAD7n4gOM4ngVdwZFv/hcAnguN91cxOMrNfdvcf9XhskUIYhImB\nkg64/RY+n43r1nH68LACvSQiykx2fwTU8t8rqAbmu6jObNeLIeD7oZ9ngedG2OYZgAK8CMpaJKGf\nHdlOm5/nqunpQty4SPZESdG/PPyzmZ0K/I8Yjh210by+jaHh566++uql5+vXr2f9+vVdFUpEsqXf\nPceT7jldO5/9MzO8b36+6XZK5UvYnj172LNnT0ef6Xi5WDMz4D53P6OjDx69n+cBV7v7S4OftwFP\nhDvamdlHgD3u/sng5/3AC+tT9OpkJyJ50y6AZ3kWNUlfLJ3szCw8TdgxwFlUU/S9+hpwmpmtAeaA\n/wy8pm6b24DLgE8GNwSPqP1dRLKil1p23sdYS/ZFGSb3utCPvwAOuPudsRzc7GUcHib3MXe/1swu\nAXD3G4JtrgNeCvw78AZ3/3qD/agGnwGDOExNBluStWyl6KWVWGrwwMnu/oG6Hb/F3Xtuh3f324Hb\n6167oe7ny3o9TtFkNZBqJjmR+KiGL72KstjM6xq89oa4CyLRFXWhlW4WpBFJ0+apKbaXy2wvl7vq\nADhXqbCSCLikAAAb4ElEQVRtbIxtY2PMVSoJlFAGWdMavJm9BtgIPMvMPhd66wTgx0kXTPKn1zHZ\nygAUT9HTzL3Wsos2xl+ypVWK/ivAD4AS8D4OD1c7CNyTcLmkhaxObqIx2VJPAUwkPU0DvLt/D/ge\nmho2c4oaSLN64yKSFK0OJ0mK0ov++cAHgTOAJ1Pt8f5oHIvNxEW96EWyqegpehiMc5TsiWs1ubuA\nVwP/CzgHuBj4dXffGldBe6UALyJp0YQ0koYoAT5KL3rc/X5gmbs/7u4fpzouXURERDIqyjj4fzez\nJwP3mNl7gB9y9PzwIiIDSe3oklVRUvRrqK7ethx4K3Ai8CF3fyDpwkWlFL2IiAySWNrggx0dB5zq\n7v8cV+HipAAvIu2oM5wUSSxt8GZ2IbAX+Hzw8zozuy2eIoqI9EdtTP5V09NLgV6kyKJ0srsaeC7w\nMIC77wV+NcEyiQwMTVWaXfrdSN5FaYP/qrs/18z2uvu64LVvuPtv9aWEEShFL3lTSxfvn5nhffPz\nrEarkSWt0+uh4W+SZXGtJvdNM3st8CQzOw14M9VpbEWkS+EpXCeAyYSPoWlitTqbDJ4oKfrLgN8E\nfgb8FfBT4PIkCyUySO4vlbpejayIspIa73SluKyUW6SmaYrezG52901mdnn9evBZoxS9ZF19ehhI\nPH2e1xR9nKnxfl6DRuXO6+9Asq/XFP1vm9lq4PfN7Kb6N939oV4LKNU10Gtruk9NbWZoaHXKJZIk\nNEqXJ50uVko6/WaKtI8vg61VgP8I8EWqPebvqnvPUU/6WGgNdElLVmuXSc4Ml+Q5a0Y7yRx3b/kA\nPtJum7Qf1dPIp3J5q8Mhh0NeLm9NuziSkMrsrG8tl31rueyV2dm0i+Pu7lvLZT8Efgh8a7mcdnES\nUX/d+33OWfy9SzEEca9lbGzbi97d/zDhe4yBpjXQB0Oc6fKs1ryzKO1mirSPL4Mt0lS1WadOdjJI\n4uqEVrQbhSjnU7RzlsEV1zh4ESmgXmuXWQuWUTq0dXLOWTu/elkvn2RAuxx+Hh7kuA1epFNZaddN\nqj076vmFt7trZsY3lEqxlifrfRSyXj5JFnG0wYtIthS9XTfq0LLwdhuDKX8nqE4cdL16sYsowItI\nd7I2LGw11Sl/tw8Px5Kuztr51ct6+SR96mQnIkAybbrd7DPqZ8LbXTQ5ya0TE00/o/ZqKZoonewU\n4EUESGb1tLRWZKsP6Eek/bUynBSAetGL5FCvtc1Brq2Gl+G9ZX4eYCmNLTJoVIMXyYiGwamL2ma3\nteZObwyyOO5829gYb5ye5grg2cAlwI3BanCDetMjxaQavEiO1NLIEykdv9Pe+XGPO28n6s3CDVTX\ntQbYGPSoL/rIA5FGFOBFMuYSqoHp9OHhrnpHF7V3dZQbis1TU1y6bh0EGZDTY+pRL5JHCvAiGREO\nzNf3kEbuV201izcSq4eGuH7v3syVSyQNaoMXkVwY5M6DIvU0TE5EjpCVse5JyVJZRJKkAC8iRyjS\nWPeslUU3F9JPUQL8Mf0qjIgU3/6ZGeYqlSNem6tU2DY2xraxsaPe62a7Vp/dPzPTVbnjUOsEeNX0\n9FKgF0lVu9Vo8vBAq8mJRNLLSnTNPluZnfUNpZJvAb8TfEOpdMQ2UVc962V1tNpnHwgd/66ZmURX\n3au/HlrdTfqJCKvJpR6c43gowIskr1UAq723JXg/vE0/A3w3x+1W/f67WeY2zeV+Jd+iBHil6EX6\npJcUdNLHn6tUuGx0lFeecgpvPf/8jsu3eWqK7eUy95dKDd/bMjLCxlKJxcXFpvuu7WN7MPNcN8dv\n9dnw+X/9a1+L/XdRG5547c6dLdvf+5nKT/tvTlLW7g4gDw9Ug5ccSDuF264G3qj27e5+18yMbyiV\n/OWrVvkbzzuvYc2zViu9dGTELx8dPWqbbs6915puqxT6hlKp599Ft+Xr599B2n9zkhwi1OA10Y2I\ntPTHL3oRn3rkEQD+43338dGHHz5qmyRWa4syc10rSU/40+3+szhBkBSTArxIn6T5xT5XqXBwYYGN\npRJr1q5lS93xN09Ncc2mTWy8996j3l/8yU8aPu9E1HMPDzVbXFxsuc9Oh6WFy/DOyUm2h9aP76d+\nzouvm4nBpnHwIgOgl/HhLznpJJ4TBPZ7nvpUPv7Nbx4VWOMaAx4u55aREU5YubLpPjvZVqRotJqc\niPTs2r/7O95VLlefBx3D6lPnSdRKT1i5MvI+K/fee8T671o5TkQBXqSQ6mvUvaRqzz7nHD7z4INL\nP9/aZRmi1Ko7KWd42zWLi7BrV8SSiQwGpehFIsjbNKRJTtna7FrUv55Ex7uoZQJy9fsS6ZRS9CIx\n6bZHd95uDKJolo6vv0aNJHU96st0xA2OUvYyoBTgRRLU61CvbsXde3quUuGaTZuo1HrZ33RTR73W\nw7VqBV6R/lCAF4kgb8ONwjXa2mxm0F2tea5S4dJ16zhtfp5bAHbtahic669RP4eD1cvb70skCWqD\nl8wqQno7C+dw2egox+3eDcChkRGuvPnmjsq0bWyMx4Na92TwWrdt6p1cjyxcO5GsitIGn/o0s3E8\n0FS1hZSlaTbzskBIo3KGp2WtrbTWyXXdWi77A+BvAr9g+XK/fHS0o2uQhyldRfIGLTYj0rtaivrx\n6WneGMMCIUkuANJoIZM1a9cuvR9+HtXmqSluLJd5arnMu++8kxUrVrBjfLxh2RudW7hM77344tjP\nXQuqiDTR7g4gDw9Ugy+krNSawzXJLTHUJpOsmTbad/1CMJePjvqlIyORrmuna563W7a1k0Veov7+\nVdOXQYQWm5E8S7OTVjP3l0pc36DT1lylwnsvvpgD+/YxdOaZXHnzzbG2Gbdqjw6/d9HkJNuD12ud\ny2rXsdOx8bXMRXiGuE7sn5lh29jYEWUaWliAoD9AO3H9/tWWLwOr3R1AHh6oBi8JilKT7KSW301m\not1Sr1FqsN20vdcvIduu7LX3N5RK/kCDYyWRlWm3T9XwpYhQDV6kd93UJA8uLDQdmpZEZmIOuAG4\nf2aGuUqlYS21m6FjlwATHM5ctCt7OFuwOsgWNHq/U61q4VnM9IhkgYbJicSgPkV/rBnXBHOjt0qH\nR00ft0vRH5FKj2kIG3Q/3WvcafFeVo5Til6KSMPkRFKSVNo8yf1kOZXdbUc9kaJCKXqRdPR7JrU0\nZ27rRw1ZK8eJdE4pepGERAl8cQTHuAJst/uJ0js/zpuALKfcs1w2KRal6EUSlJXe20kcp5Pe7lGO\nn+X0f5wG5TwlfShFL5KcTlZGW1xcZNvYGAcXFjjWjBUrVvSthtdNrbLduTUbe3/R5GRPC9t0W14R\naaDdHUAeHqgGLyloV1sL14IvHRlZGiOfVG272Qx1UWuV4fJePjra8Yx1rV6POyOQVVmZfVGKD9Xg\nRaLpptbYrmNbeHx2rVbbSzmavRcee35ND2uth2vtW0ZG2F4uNz23Tg3KWPVBOU/JiXZ3AHl4oBq8\n9CiuWmOzGlx4Pvg3nneebyiVGq7K1suMdb3Wnju5Bu3Os5P57qPuu1/SPr5IFESowacenON4KMBL\np6IuotLpl32rxV6iLNjSS4DvNTC1C9pxTa2bdXkuuwyOKAFeKXoZSPWdyJql2zvpSBf1WK20Svtf\nNDnJxpkZAN45OXnUZztNDzdK+Tf6fLfXIMr0uSKSHAV4EeJrO40y4UyrbVqV49aJicPT0U5McHaP\n5W0VuMPB/+DCQtt91d8sbJ6aOjx97vx81zdHaUhz0iCROCnAy0DaPDXFlk2bqNx7L2sWF2NboKVR\ngK7fRx46YoWD/6tXrWJjqVRdBrfJNWh0s3D68DA0WHAm6/Lw+xGJQgFeBtLqoSFOWLmyWsPctatp\nDTOOL/t+ZgeS2N+vP/QQk8D2lSs7SrOrJiySLgV4kYTU0taLi4v83J0TVq7saeKWuGuWtf01aouv\nBef9MzO8L2gWqGm1fe21JMorIh1q1wsvDw/Ui166kPRwqHBv7C0Z7pXdqtd4o2sUx3A6EekN6kUv\n0lxRaphJTu3a6zXqpge+pqoViYcCvAyspANJLW1dS9FvX7kylrna6/U6lK/TtvKk29bjGJooIikF\neDNbBfw18EzgAPAqd3+kwXYHgJ8CjwM/d/dz+1hMKbg4A0mjm4VGtd8jllbtZEx5zO35YZ3W0jvZ\nXh3tRNKTVg1+K/AFd3+Pmb09+Hlrg+0cWO/uD/W1dCIdSrrWGd7/BHBV6DhZDqLdpPizfD4ieZJW\ngL8QeGHw/BPAHhoHeIDWC9qLRBC153fSkjhmqyCax/bsovSNEEmbVTvj9fmgZg+7+8nBcwMeqv1c\nt913gJ9QTdHf4O4fbbI/T+M8JD+OSI2Xy01nbesmCM5VKlyzaRPfu+cejgFOfc5zuPLmm2MNpt2m\n6Fudd3i/kJ8bABEBM8PdW1eA23Wz7/YBfAHY1+BxIfBw3bYPNdnH04N/S8DdwO802S6+sQeSGa2G\nWMWxCEyz97rdd7u13pMaMtZqv0mvQCci6SDNYXLu/qJm75nZj8zsae7+QzN7OvBgk338IPh33sw+\nA5wLfLnRtldfffXS8/Xr17N+/fruCy+pm6tUuHTdOk6bn+cSqm3Q4dpnp23eUVPjBxcWDs+hHnHf\nNT8NPf/JI0f1GU2snb7Vftud98GFBSaC54dCc86rJ7tItuzZs4c9e/Z09Jm02uBvA14HvDv497P1\nG5jZccAydz9oZk8BXgwcvYRWIBzgJX/qU8U7xseXguwEsKzH/Tdq1w2nvbeMjHDCypUcu7jIaXUz\nt7VTC6L33XEHE7/4BQDf+da3eizxkWWsHafTFHq79uxjzZb+U11pnXV3UXpfpH/qK66TDVaUPEq7\nKn4SD2AV8HfAt4E7gJOC11cDO4Pnv0o1LX83cC+wrcX+Yk5+SL/Vp4rDP28olXpO0Uc5Zu21B4J0\ne/1x2x3zJSef7FuCz77k5JOPej+pddXb7bebFH6UsmrddJH0kNWZ7Lw67O2CBq/PAWPB8+8AZ/W5\naJIR4dTy9aHaYT8mp9kxPs6yuuNC+7T1r55xBpNf+QoAV5xxxlH7Tqp3eLv9dpPCV092kfzTTHaS\nCVGXVI2zbTjuBVKeetJJDZ/3IumhfJ2cb6M13zVeXSS7UhkmFzcNkxsc7YZ9NRNHzb/dPuIYbpdE\ndiKu/XZ77UUkflGGySnAS650G6zyEJyyXsasl09kkEQJ8ErRS66obbgqjR7s7VLy6lUvki2qwUsq\nug0G/f5cP3VSxizWprNYJpGiUg1eMqvbznL1n6v1eofWQTEPNf88lFFE8kMBXnItyo1ClJpxHmr4\nYVnswZ7FMokMMqXoJRVxpdqPCPBN0sJRUsfNtslb4BeRwaAUvWRWt+no2jKvO8bH2TE+zkWTk2wP\n3quvNdaC8/6ZGeaoTpPYqaTnZNcNhIgkRQFecueIoAtcu3Nnw0AZ3m5jqcTpw8NNU8et0stzwA3A\n/TMzzFUqsQbhfizqopsIkcF0TNoFkPTMVSpsGxtj29gYc5VK2sXpSS1QXjU9vRTMwk4fHl4Knp2c\n8+apKd5WKjEJ3DI/33DfWdfu2ohIMakGP8DyuiRo1M5cjbZrds7NXl89NMTpw8MQvJfWuYiIdEoB\nXvoqjnRxo/b7KPPKz1Uq7J+Z6fh4SQbhfgyN002EyGBSL/oBlkbbbJqToWwbG+ON09PV9vRSiev3\n7o1llTq1cYtIv6kXvbQ0iBOrrAYmge3Dw0cE4m6vxVylwqXr1nHa/DyXUE31D9o1FZFsUoCXvkoz\nXXzR5CQbgxT9OycnI3+uVQ19x/g4t8zPAzABLIuvuCIiPVGAl75KM2tw68TEUjDePjHB2V1Oj9us\n/PeXSlzfwU2LUvsikiQFeJEOHFxYYNvYGFANyuGMxPUdBum8jmIQkXxQgJeB0WnzQK2Gvbi4yJaR\nEU5YuZJjFxePCsoKzCKSRQrwkqpO0tS9prQ7bR5oNM99rfYeBw1fE5EkKcBLqjpJU2chpR1nUA7f\ncNRmFaztV+3xItIrBXjpWrhGfdHkJLdOTABdjCMnubneG5U1avmiTJ4TlyzcvIhIwbh77h/V05B+\n21ou+yHwQ+AbSqWl51vL5cj7qMzORv5sZXbWt5bLvrVc9srsbNdl7aR8/ZL18olItgRxr2VsVA1e\nUtXJXO9FnphH7fEiEjdNVStdiy1Fn+B48Nq+Dy4scKwZK1as6Hsbt8a7i0jcokxVqwAvhZbm3PdZ\nKoOIFEuUAK/14KUQirS2vYhIHFSDl0zpNp3drJachfR4FsogIsWi1eQkd+IeLpaFjnlZKIOIDB6l\n6AdUs5R2HlPdc5UKBxcW2FgqceXoqHqhi4igFP3AapbSTrtDWDfp7LTLLCLSb0rRS6bbfxuVTens\nwZXlv1WRXGo3E04eHmgmu6aazZDWbFa4XmaLi6tsnepnmdM8ZtFpNj+R6NBMdtJMs5pyHmvQaZRZ\nc8eLSNYpwBdclqdAzXLZpP/09yASL3WyEwmJ2g6cRnux2qhFpEZT1Yp0KMs98rNcNhHpL01VKyIi\nMqBUgxcJyXIaPMtlE5H+UopeRESkgJSiFxERGVAK8CIiIgWkAC8DJY+L6YiIdEMBXnKl1wBdm4Hu\nqunppQ5rIiJFpABfMEWvoSpAi4hEo6lqCyapOdKLMkRL06GKyKBQgE9ZlgNnuGwHFxZ47+7dQLqL\nq/QaoPO4mI6ISDcU4DsUd0COu8YdZw01XLaNpVJP+4qLArSISDQK8B3K+jKhjQJgHDcla9auZfuK\nFUv7SEOWsx0iIlmjAJ+yfrQJd3tTEi7blgwE1KzfXImIZIkCfIfiDshZTjlnuWydUu1fRAaN5qIf\nAEUJbr2ch5ZaFZEiiTIXvWrwA6AoNfGinIeISD+oBi89aVarzlrWIGvlERHphZaLlcQ1S30rJS4i\nkhwtFysiIjKgVIOXnuQlRS8iUiRK0YuIiBSQUvQiIiIDSgFeRESkgBTgc67o67+LiEh3ChXg0wx2\naR27Nj/7VdPTS53aREREChXg0wx2CrQiIpIlmqo25/qxGp2IiORPoYbJpTn2WuO+RUSkXzQOXkRE\npIA0Dl5ERGRAKcCLiIgUkAK8iIhIASnAi4iIFJACvIiISAEpwIuIiBSQAryIiEgBKcCLiIgUkAK8\niIhIAaUS4M3sIjP7ppk9bmZnt9jupWa238zuN7O397OMIiIieZZWDX4f8ErgS802MLNlwHXAS4Hf\nAF5jZmf0p3j9t2fPnrSLEAudR3YU4RygGOdRhHMAnUfepBLg3X2/u3+7zWbnAg+4+wF3/znwSeAV\nyZcuHUX5g9N5ZEcRzgGKcR5FOAfQeeRNltvgh4Dvh36eDV4TERGRNhJbD97MvgA8rcFbV7r75yLs\nQsvDiYiIdCnV5WLNbDdwhbt/vcF7zwOudveXBj9vA55w93c32FY3AyIiMlDaLRebWA2+A80K+DXg\nNDNbA8wB/xl4TaMN252kiIjIoElrmNwrzez7wPOAnWZ2e/D6ajPbCeDuvwAuAz4P3Af8tbt/K43y\nioiI5E2qKXoRERFJRpZ70UdmZleb2ayZ7Q0eL027TL0wsyvM7AkzW5V2WbphZu8ys3vM7G4z+6KZ\nnZp2mTplZu81s28F5/FpM3tq2mXqRtRJpbKoCBNdmdlfmNmPzGxf2mXphZmdama7g7+le83szWmX\nqVNmtsLMvhp8L91nZtemXaZumdmyINa17LBeiABPtcf9n7v7uuDxf9IuULeCYPgi4Htpl6UH73H3\n57j7WcBngYm0C9SFO4DfdPfnAN8GtqVcnm61nVQqiwo00dXHqZ5D3v0ceKu7/ybVptVL8/b7cPdF\nYCT4XvotYMTM/kPKxerWW6g2XbdMwRclwEPzznp58+fAH6VdiF64+8HQj8cD/5ZWWbrl7l9w9yeC\nH78KPCPN8nQr4qRSWVSIia7c/cvAw2mXo1fu/kN3vzt4/ijwLWB1uqXqnLsfCp4uB5YBD6VYnK6Y\n2TOAMnAjbeJekQL85iCd+jEzOyntwnTDzF4BzLr7N9IuS6/M7L+b2b8CrwP+NO3y9Oj3gem0CzFg\nNNFVRgUjm9ZRvfHNFTM7xszuBn4E7Hb3+9IuUxfeD2wBnmi3YRaGyUXSYuKcdwAfBrYHP78L+DPg\nD/pUtI60OY9twIvDm/elUF1oN5GRu78DeIeZbaX6B/mGvhYwgiiTMZnZO4DH3P2WvhauAzFMKpVF\n6v2bQWZ2PPC/gbcENflcCbJyZwV9aj5vZuvdfU/KxYrMzF4OPOjue81sfbvtcxPg3f1FUbYzsxuB\nzH6pNTsPMzsTeBZwj5lBNSV8l5md6+4P9rGIkUT9fQC3kNHab7tzMLPXU02Fnd+XAnWpg99FnlSA\ncOfMU6nW4iUlZnYs8CngL939s2mXpxfu/pNgSPY5wJ6Ui9OJ84ALzawMrABONLOb3P3iRhsXIkVv\nZk8P/fhKqh2LcsXd73X3X3b3Z7n7s6h+mZ2dxeDejpmdFvrxFcDetMrSrWAkxhbgFUHnnCLIbEao\ngaWJrsxsOdWJrm5LuUwDy6q1jo8B97n7B9IuTzfM7JdqzbdmtpJqZ+ZcfTe5+5XufmoQI14N7GoW\n3KEgAR54t5l9w8zuAV4IvDXtAsUgzynKa81sX9DWtR64IuXydGMH1Q6CXwiGo3wo7QJ1o9mkUllX\nlImuzOyvgK8Azzaz75tZ5pqqInoB8HtUe57ndTjy04FdwffSV4HPufsXUy5Tr1rGCU10IyIiUkBF\nqcGLiIhIiAK8iIhIASnAi4iIFJACvIiISAEpwIuIiBSQAryIiEgBKcCLDAgze3OwTObNXXz2mWb2\nmiTKFez/MjN7IM/LJItkjQK8yOB4E3CBu2/q4rPPAjZ2+iEzi/od8/9TnRI4z8ski2SKArzIADCz\njwC/CvwfM7vczI4zs78ws6+a2dfN7MJguzVm9iUzuyt4PD/YxZ8CvxPMYHa5mb3OzHaE9v+3Zva7\nwfNHzex9wYxhzzez3wuOs9fMPtIo6Lv73e6u4C4SIwV4kQHg7n8IzAHrg7nE/xj4ors/FxgF3mtm\nx1FdRvNF7v7bVOe6/mCwi7cDX3b3dU3mIg9PiXkc8I/ufhbV9bZfBZzn7uuoLnH52vjPUETq5WY1\nORGJ1YuB/9fM3hb8/GSqK7b9ELjOzJ4DPA7UFg7qZKGax6muOgbVtPtvA18LVklcGRxDRBKmAC8y\nuP4/d78//IKZXQ38wN03mdkyoNlKer/gyAzgitDzRT9ykYtPuPuVcRRYRKJTil5kMH0eeHPtBzNb\nFzw9kcM17IuBZcHzg8AJoc8fAM6yqlOBc5sc54vAfzKzUnCcVWb2K23KlqdlbUUySwFeZHCEa9Xv\nAo4Nllm+F5gMXv8Q8Lqgg9yvA48Gr98DPG5md5vZW9z9TuC7VJdy/R/AXY2OEyzx+sfAHcFyzncA\nT6svWDCE7/vAEPANM5vq/XRFBpuWixURESkg1eBFREQKSAFeRESkgBTgRURECkgBXkREpIAU4EVE\nRApIAV5ERKSAFOBFREQKSAFeRESkgP4vOy43QLGY0EIAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10eb939d0>"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "As you can see in figure above two classes are linearly separable, so if algorithm works it should find linear decision boundary separating two classes. In figure below you can see that only ClassificationARD manged to find smooth (linear) decision boundary, while L1 and L2 regularized Logisitc Regressions produced choppy decision boundary (since they were not able to illiminate 'irrelevant' i.e. noisy features)"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "n_samples  = 500\n",
      "n_features = 500\n",
      "np.random.seed(1)\n",
      "\n",
      "X,Y = generate_dataset(n_samples,n_features)\n",
      "\n",
      "# training & test data\n",
      "X,x,Y,y = train_test_split(X,Y, test_size = 0.4)\n",
      "\n",
      "# fit & predict using ARD\n",
      "clard = ClassificationARD()\n",
      "clard.fit(X,Y)\n",
      "        \n",
      "# fit & predict using cross validated Logistic Regression\n",
      "# with L1 / L2 penalty\n",
      "lrcv_l2 = LogisticRegressionCV(penalty = 'l2')\n",
      "lrcv_l2.fit(X,Y)\n",
      "lrcv_l1 = LogisticRegressionCV(penalty = 'l1', solver = 'liblinear')\n",
      "lrcv_l1.fit(X,Y)\n",
      "    \n",
      "# construct grid    \n",
      "n_grid = 100\n",
      "max_x      = np.max(x[:,0:2],axis = 0)\n",
      "min_x      = np.min(x[:,0:2],axis = 0)\n",
      "X1         = np.linspace(min_x[0],max_x[0],n_grid)\n",
      "X2         = np.linspace(min_x[1],max_x[1],n_grid)\n",
      "x1,x2      = np.meshgrid(X1,X2)\n",
      "Xgrid      = np.zeros([n_grid**2,2])\n",
      "Xgrid[:,0] = np.reshape(x1,(n_grid**2,))\n",
      "Xgrid[:,1] = np.reshape(x2,(n_grid**2,))\n",
      "Xg         = np.random.randn(n_grid**2,n_features)\n",
      "Xg[:,0]    = Xgrid[:,0]\n",
      "Xg[:,1]    = Xgrid[:,1]\n",
      "\n",
      "# estimate probabilities for grid data points\n",
      "clard_grid    = clard.predict_proba(Xg)[:,1]\n",
      "lrcv_l2_grid  = lrcv_l2.predict_proba(Xg)[:,1]\n",
      "lrcv_l1_grid  = lrcv_l1.predict_proba(Xg)[:,1]\n",
      "\n",
      "# plot data\n",
      "titles = [\"ClassificationARD\",\"L2 Logistic Regression\",\n",
      "          \"L1 Logistic Regression\"]\n",
      "models  = [clard_grid,lrcv_l2_grid,lrcv_l1_grid]\n",
      "\n",
      "fig, axarr = plt.subplots(nrows=1, ncols=3, figsize = (24,8))\n",
      "\n",
      "for ax,title,model in zip(axarr,titles,models):\n",
      "    ax.contourf(X1,X2,np.reshape(model,(n_grid,n_grid)),cmap=cm.coolwarm)\n",
      "    ax.plot(x[y==0,0],x[y==0,1],\"bo\", markersize = 5)\n",
      "    ax.plot(x[y==1,0],x[y==1,1],\"ro\", markersize = 5)\n",
      "    ax.set_title(title)\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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83DK2ubRNFmLXXnMcY2PXAQB2PjCMmVfvwYqB3mAbWhUv2DcmsI2ifjcJrmXb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\ne4cIkrq+WAjxpTUpGVvJ9eF6Lfe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       "text": [
        "<matplotlib.figure.Figure at 0x11f2983d0>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print('Number of relevant features \\n '\n",
      "      ' \\n -- ClassificationARD : {0} \\n '\n",
      "      ' \\n -- LRCV L1 : {1} \\n '\n",
      "      ' \\n -- LRCV L2 : {2} \\n ').format(np.sum(clard.coef_!=0),\n",
      "                                     np.sum(lrcv_l1.coef_!=0),\n",
      "                                     np.sum(lrcv_l2.coef_!=0))\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Number of relevant features \n",
        "  \n",
        " -- ClassificationARD : 2 \n",
        "  \n",
        " -- LRCV L1 : 16 \n",
        "  \n",
        " -- LRCV L2 : 500 \n",
        " \n"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Example 2: Multiclass classification problem with many irrelevant features"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.datasets import make_blobs\n",
      "from sklearn.grid_search import GridSearchCV\n",
      "from sklearn.svm import LinearSVC as SVC\n",
      "from sklearn.metrics import classification_report\n",
      "cs = 5 # blob center scaler\n",
      "centers = [(0, -cs), (-cs, 0), (cs, 0), (0,cs)]\n",
      "n_samples  = 500\n",
      "n_features = 500 \n",
      "\n",
      "np.random.seed(0)\n",
      "X           = np.random.random([n_samples,n_features])*cs \n",
      "X[:,0:2], y = make_blobs(n_samples=n_samples, n_features=2, cluster_std=1.0,\n",
      "                  centers=centers, shuffle=False, random_state=1)\n",
      "X, x, Y, y = train_test_split(X, y, test_size=0.2, random_state=42)\n",
      "\n",
      "# fit RVC\n",
      "rvm = ClassificationARD()\n",
      "rvm.fit(X,Y)\n",
      "\n",
      "# fit LinearSVC\n",
      "svc = GridSearchCV(SVC(), param_grid = {\"C\":np.logspace(-3,3,7)},\n",
      "                   cv = 5)\n",
      "svc.fit(X,Y)\n",
      "\n",
      "# fit Logistic Regression with L1 penalization\n",
      "lone = LogisticRegressionCV(penalty = 'l1', solver = 'liblinear')\n",
      "lone.fit(X,Y)\n",
      "\n",
      "# fit Logistic Regression with L2 penalization\n",
      "ltwo = LogisticRegressionCV(penalty = 'l2')\n",
      "ltwo.fit(X,Y)\n",
      "\n",
      "# create grid\n",
      "n_grid     = 100\n",
      "max_x      = np.max(X,axis = 0)\n",
      "min_x      = np.min(X,axis = 0)\n",
      "X1         = np.linspace(min_x[0],max_x[0],n_grid)\n",
      "X2         = np.linspace(min_x[1],max_x[1],n_grid)\n",
      "x1,x2      = np.meshgrid(X1,X2)\n",
      "Xgrid      = np.zeros([n_grid**2,2])\n",
      "Xgrid[:,0] = np.reshape(x1,(n_grid**2,))\n",
      "Xgrid[:,1] = np.reshape(x2,(n_grid**2,))\n",
      "Xg         = np.random.randn(n_grid**2,n_features)\n",
      "Xg[:,0]    = Xgrid[:,0]\n",
      "Xg[:,1]    = Xgrid[:,1]\n",
      "\n",
      "# predictions\n",
      "rv_grid = rvm.predict_proba(Xg)\n",
      "sv_grid = svc.decision_function(Xg) \n",
      "lone_grid = lone.predict_proba(Xg)\n",
      "ltwo_grid = ltwo.predict_proba(Xg)\n",
      "grids = [rv_grid,sv_grid,lone_grid,ltwo_grid]\n",
      "names = ['RVC','LinearSVC','L1 LogisticRegressionCV','L2 LogisticRegressionCV']\n",
      "\n",
      "# plot data\n",
      "colors = ['ro','go','ko','co']\n",
      "classes = np.unique(y)\n",
      "plt.figure(figsize = (12,6))\n",
      "for cl,col in zip(classes,colors):\n",
      "    plt.plot(x[y==cl,0],x[y==cl,1],col)   \n",
      "plt.xlabel('relevant feature 1')\n",
      "plt.ylabel('relevant feature 2')\n",
      "plt.title('Data for multiclass classification problem')\n",
      "plt.show()\n",
      "\n",
      "# plot heatmaps\n",
      "for grid,name in zip(grids,names):\n",
      "    fig, axarr = plt.subplots(nrows=1, ncols=4, figsize = (12,4))\n",
      "    for ax,cl,model in zip(axarr,classes,grid.T):\n",
      "        ax.contourf(x1,x2,np.reshape(model,(n_grid,n_grid)),cmap=cm.coolwarm)\n",
      "        ax.plot(x[y==cl,0],x[y==cl,1],\"ro\", markersize = 5)\n",
      "        ax.plot(x[y!=cl,0],x[y!=cl,1],\"bo\", markersize = 5)\n",
      "    plt.suptitle(' '.join([name,'OVR Multiclass']))\n",
      "    plt.show()\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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6TpYR51FJl0va2fa/SDpW0pmzOksdto+R9ElJ8yWdFxH/2ozjAt2E1QsBoDPM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\nl5K+V/XccyWttP2rtM75vZL+K32NNyg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       "text": [
        "<matplotlib.figure.Figure at 0x11d463d10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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baHj11VdpaSm9dpMacw3csrxehteKtVfv5uoqGubUFXyMMF4/bGeyy62mN4h2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\njHs6OgG4qmn6sKUNZ3ftUF1vDVHKim8pX8RBV3yDUvgys1YsRLLJ6PY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       "text": [
        "<matplotlib.figure.Figure at 0x10eb39dd0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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bj3K09Sz0vni0tZLzz7yapk/SF64l/HjTfdoPHn6I006ZlOb2oGMUt0GGBYTM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\nyHbHN7RzFetGEt+OA7Nw9IUIZbnA0Vat47YPCnjPpcyzogoihLd3325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rAAAg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\nZ34/T4ivjN2K2B0rg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       "text": [
        "<matplotlib.figure.Figure at 0x11dfe1150>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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SAX/X3Lr6+3j5n5V8uOBrz3FWwWuWIb7y8a+YU1DqOI54eoVoM2HsheyaNJoO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\nnPJ77psbofyQLC7axlNvfMpTb3zK4qJ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MHAV7TG8+jrcLLuvf/sazHut2rk59uxnLPqZd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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11cc64490>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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xH92Fn+XCbWcb2Ly/zLj/1orDFBaXBHqEw3iBJdkmeMF6eluE48dOecnRpSAa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\nSUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11edc88d0>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print \"          =======   Relevance Vector Classifier   ======= \\n\"\n",
      "print classification_report(y,rvm.predict(x))\n",
      "print \"          =======   Support Vector Classifier   ======= \\n\"\n",
      "print classification_report(y,svc.predict(x))\n",
      "print \"          =======   L1 Logistic Regression   ======= \\n\"\n",
      "print classification_report(y,rvm.predict(x))\n",
      "print \"          =======   L2 Logistic Regression   ======= \\n\"\n",
      "print classification_report(y,svc.predict(x))\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "          =======   Relevance Vector Classifier   ======= \n",
        "\n",
        "             precision    recall  f1-score   support\n",
        "\n",
        "          0       1.00      1.00      1.00        31\n",
        "          1       1.00      1.00      1.00        15\n",
        "          2       1.00      1.00      1.00        24\n",
        "          3       1.00      1.00      1.00        30\n",
        "\n",
        "avg / total       1.00      1.00      1.00       100\n",
        "\n",
        "          =======   Support Vector Classifier   ======= \n",
        "\n",
        "             precision    recall  f1-score   support\n",
        "\n",
        "          0       1.00      0.90      0.95        31\n",
        "          1       0.94      1.00      0.97        15\n",
        "          2       0.92      1.00      0.96        24\n",
        "          3       1.00      1.00      1.00        30\n",
        "\n",
        "avg / total       0.97      0.97      0.97       100\n",
        "\n",
        "          =======   L1 Logistic Regression   ======= \n",
        "\n",
        "             precision    recall  f1-score   support\n",
        "\n",
        "          0       1.00      1.00      1.00        31\n",
        "          1       1.00      1.00      1.00        15\n",
        "          2       1.00      1.00      1.00        24\n",
        "          3       1.00      1.00      1.00        30\n",
        "\n",
        "avg / total       1.00      1.00      1.00       100\n",
        "\n",
        "          =======   L2 Logistic Regression   ======= \n",
        "\n",
        "             precision    recall  f1-score   support\n",
        "\n",
        "          0       1.00      0.90      0.95        31\n",
        "          1       0.94      1.00      0.97        15\n",
        "          2       0.92      1.00      0.96        24\n",
        "          3       1.00      1.00      1.00        30\n",
        "\n",
        "avg / total       0.97      0.97      0.97       100\n",
        "\n"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Where ClassificationARD fails?"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The main drawback of ClassificationARD is reliance on Laplace Approximation, which is used for fast approximation of the posterior distribution of weights. So in cases when Laplace Approximation is not accurate ClassificationARD usually fails to achieve reasonable results.\n",
      "In cases when you have small datasets or non-continuous features it is advised to use VBClassificationARD, which has more accurate approximation algorithm for posterior (unfortunately it is much slower as well)"
     ]
    }
   ],
   "metadata": {}
  }
 ]
}